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2413113031120 = 245111729488491
BaseRepresentation
bin100011000111011000101…
…111101011100111010000
322112200122222220012222011
4203013120233223213100
5304014023413443440
65044322510552304
7336225122221351
oct43073057534720
98480588805864
102413113031120
1185043943a590
1232b816808694
1314672b7cb30c
1484b1c401d28
1542b85c039ea
hex231d8beb9d0

2413113031120 has 120 divisors (see below), whose sum is σ = 6501742442208. Its totient is φ = 825878169600.

The previous prime is 2413113031093. The next prime is 2413113031123. The reversal of 2413113031120 is 211303113142.

It is a super-3 number, since 3×24131130311203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2413113031091 and 2413113031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413113031123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4489926 + ... + 4998565.

Almost surely, 22413113031120 is an apocalyptic number.

2413113031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413113031120 is an abundant number, since it is smaller than the sum of its proper divisors (4088629411088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2413113031120 is a wasteful number, since it uses less digits than its factorization.

2413113031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488549 (or 9488526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2413113031120 its reverse (211303113142), we get a palindrome (2624416144262).

The spelling of 2413113031120 in words is "two trillion, four hundred thirteen billion, one hundred thirteen million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 289 340 374 440 578 680 748 880 935 1156 1360 1445 1496 1870 2312 2890 2992 3179 3740 4624 5780 6358 7480 11560 12716 14960 15895 23120 25432 31790 50864 63580 127160 254320 9488491 18976982 37953964 47442455 75907928 94884910 104373401 151815856 161304347 189769820 208746802 322608694 379539640 417493604 521867005 645217388 759079280 806521735 834987208 1043734010 1290434776 1613043470 1669974416 1774347817 2087468020 2580869552 2742173899 3226086940 3548695634 4174936040 5484347798 6452173880 7097391268 8349872080 8871739085 10968695596 12904347760 13710869495 14194782536 17743478170 21937391192 27421738990 28389565072 30163912889 35486956340 43874782384 54843477980 60327825778 70973912680 109686955960 120655651556 141947825360 150819564445 219373911920 241311303112 301639128890 482622606224 603278257780 1206556515560 2413113031120